The structure of Fedosov supermanifolds

Given a supermanifold (M,A) which carries a supersymplectic form ω, we study the Fedosov structures that can be defined on it, through a set of tensor fields associated to any symplectic connection ∇. We give explicit recursive expressions for the resulting curvature and study the particular case of a base manifold M with constant holomorphic sectional curvature.